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Finding the Fourth Proportional to 12,631.41, 18,951.34 and 8,431.46

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Solution

The fourth proportional to 12,631.41, 18,951.34 and 8,431.46 is: 12,650.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,631.41 : 18,951.34 = 8,431.46 : x
  2. Step 2: Convert to fraction form
    12,631.41/18,951.34 = 8,431.46/x
  3. Step 3: Cross multiply
    12,631.41x = 18,951.34 × 8,431.46
  4. Step 4: Simplify right side
    12,631.41x = 159,787,423.00
  5. Step 5: Solve for x
    x = 159,787,423.00/12,631.41
  6. Step 6: Final answer
    x = 12,650.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.